TDAkit (version 0.1.3)

fsnorm: \(L_p\) Norm of a Single Functional Summary

Description

Given a functional summary \(\Lambda (t)\), compute the \(p\)-norm.

Usage

fsnorm(fsobj, p = 2)

Value

an \(L_p\)-norm value.

Arguments

fsobj

a functional summary object.

p

an exponent in \([1,\infty)\) (default: 2).

Examples

# \donttest{
## Generate Toy Data from 'gen2circles()'
dat = gen2circles(n=100)$data

## Compute PD, Landscapes, and Silhouettes
myPD  = diagRips(dat, maxdim=1)
myPL0 = diag2landscape(myPD, dimension=0)
myPL1 = diag2landscape(myPD, dimension=1)
myPS0 = diag2silhouette(myPD, dimension=0)
myPS1 = diag2silhouette(myPD, dimension=1)

## Compute 2-norm
fsnorm(myPL0, p=2)
fsnorm(myPL1, p=2)
fsnorm(myPS0, p=2)
fsnorm(myPS1, p=2)
# }